xref: /petsc/include/petscmat.h (revision 609bdbee21ea3be08735c64dbe00a9ab27759925)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
231 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
232 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
233 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
235 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
236 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
237 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
238 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
239 
240 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
247 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
248 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
249 
250 #if defined(PETSC_HAVE_HYPRE)
251 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
252 #endif
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
278 
279    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
280    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
281 
282    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
283 
284    Fortran usage is different, see MatSetValuesStencil() for details.
285 
286    Level: beginner
287 
288   Concepts: matrix; linear operator
289 
290 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
291 S*/
292 typedef struct {
293   PetscInt k,j,i,c;
294 } MatStencil;
295 
296 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
297 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
299 
300 /*E
301     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
302      to continue to add or insert values to it
303 
304     Level: beginner
305 
306 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
307 E*/
308 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
309 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
312 
313 
314 
315 /*E
316     MatOption - Options that may be set for a matrix and its behavior or storage
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
321 
322    Developer Notes: Entries that are negative need not be called collectively by all processes.
323 
324 .seealso: MatSetOption()
325 E*/
326 typedef enum {MAT_OPTION_MIN = -3,
327               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_NEW_NONZERO_LOCATION_ERR = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
348               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
349               MAT_SUBMAT_SINGLEIS = 21,
350               MAT_OPTION_MAX = 22} MatOption;
351 
352 PETSC_EXTERN const char *MatOptions[];
353 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
354 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
355 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
356 
357 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
358 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
361 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
362 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
376 
377 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
389 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
390 
391 /*E
392     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
393   its numerical values copied over or just its nonzero structure.
394 
395     Level: beginner
396 
397    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
398 
399 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
400 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
401 $                               have several matrices with the same nonzero pattern.
402 
403 .seealso: MatDuplicate()
404 E*/
405 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
406 
407 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
408 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
409 
410 
411 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
412 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
419 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
420 
421 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 
426 /*S
427      MatInfo - Context of matrix information, used with MatGetInfo()
428 
429    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
430 
431    Level: intermediate
432 
433   Concepts: matrix^nonzero information
434 
435 .seealso:  MatGetInfo(), MatInfoType
436 S*/
437 typedef struct {
438   PetscLogDouble block_size;                         /* block size */
439   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
440   PetscLogDouble memory;                             /* memory allocated */
441   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
442   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
443   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
444   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
445 } MatInfo;
446 
447 /*E
448     MatInfoType - Indicates if you want information about the local part of the matrix,
449      the entire parallel matrix or the maximum over all the local parts.
450 
451     Level: beginner
452 
453    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
454 
455 .seealso: MatGetInfo(), MatInfo
456 E*/
457 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
458 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
459 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
465 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
468 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
470 
471 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
472 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
478 
479 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
480 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
481 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
482 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
488 
489 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
496 
497 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
498 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
499 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
500 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
501 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
502 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
503 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
504 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
505 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
506 
507 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
508 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
509 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
510 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
511 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
512 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
513 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
514 
515 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
516 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
517 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
518 
519 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
521 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
522 
523 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
524 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
525 
526 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
529 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
531 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
532 
533 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
536 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
539 
540 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
541 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
542 
543 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
544 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
545 
546 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
547 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
548 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
553 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
554 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
555 
556 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
557 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
558 
559 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
563 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
564 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
565 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
566 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
567 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
568 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
569 
570 /*MC
571    MatSetValue - Set a single entry into a matrix.
572 
573    Not collective
574 
575    Synopsis:
576      #include <petscmat.h>
577      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
578 
579    Input Parameters:
580 +  m - the matrix
581 .  row - the row location of the entry
582 .  col - the column location of the entry
583 .  value - the value to insert
584 -  mode - either INSERT_VALUES or ADD_VALUES
585 
586    Notes:
587    For efficiency one should use MatSetValues() and set several or many
588    values simultaneously if possible.
589 
590    Level: beginner
591 
592 .seealso: MatSetValues(), MatSetValueLocal()
593 M*/
594 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
595 
596 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
597 
598 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
599 
600 /*MC
601    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
602        row in a matrix providing the data that one can use to correctly preallocate the matrix.
603 
604    Synopsis:
605    #include <petscmat.h>
606    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
607 
608    Collective on MPI_Comm
609 
610    Input Parameters:
611 +  comm - the communicator that will share the eventually allocated matrix
612 .  nrows - the number of LOCAL rows in the matrix
613 -  ncols - the number of LOCAL columns in the matrix
614 
615    Output Parameters:
616 +  dnz - the array that will be passed to the matrix preallocation routines
617 -  ozn - the other array passed to the matrix preallocation routines
618 
619    Level: intermediate
620 
621    Notes:
622     See Users-Manual: ch_performance for more details.
623 
624    Do not malloc or free dnz and onz, that is handled internally by these routines
625 
626    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
627 
628    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
629 
630   Concepts: preallocation^Matrix
631 
632 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
633           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
634 M*/
635 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
636 { \
637   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
638   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
639   __start = 0; __end = __start;                                         \
640   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
641   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
642 
643 /*MC
644    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
645        inserted using a local number of the rows and columns
646 
647    Synopsis:
648    #include <petscmat.h>
649    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
650 
651    Not Collective
652 
653    Input Parameters:
654 +  map - the row mapping from local numbering to global numbering
655 .  nrows - the number of rows indicated
656 .  rows - the indices of the rows
657 .  cmap - the column mapping from local to global numbering
658 .  ncols - the number of columns in the matrix
659 .  cols - the columns indicated
660 .  dnz - the array that will be passed to the matrix preallocation routines
661 -  ozn - the other array passed to the matrix preallocation routines
662 
663    Level: intermediate
664 
665    Notes:
666     See Users-Manual: ch_performance for more details.
667 
668    Do not malloc or free dnz and onz, that is handled internally by these routines
669 
670   Concepts: preallocation^Matrix
671 
672 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
673           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
674 M*/
675 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
676 {\
677   PetscInt __l;\
678   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
679   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
680   for (__l=0;__l<nrows;__l++) {\
681     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
682   }\
683 }
684 
685 /*MC
686    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
687        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
688 
689    Synopsis:
690    #include <petscmat.h>
691    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
692 
693    Not Collective
694 
695    Input Parameters:
696 +  map - the row mapping from local numbering to global numbering
697 .  nrows - the number of rows indicated
698 .  rows - the indices of the rows (these values are mapped to the global values)
699 .  cmap - the column mapping from local to global numbering
700 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
701 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
702 .  dnz - the array that will be passed to the matrix preallocation routines
703 -  ozn - the other array passed to the matrix preallocation routines
704 
705    Level: intermediate
706 
707    Notes:
708     See Users-Manual: ch_performance for more details.
709 
710    Do not malloc or free dnz and onz, that is handled internally by these routines
711 
712   Concepts: preallocation^Matrix
713 
714 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
715           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
716 M*/
717 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
718 {\
719   PetscInt __l;\
720   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
721   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
722   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
723   for (__l=0;__l<nrows;__l++) {\
724     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
725   }\
726 }
727 
728 /*MC
729    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
730        inserted using a local number of the rows and columns
731 
732    Synopsis:
733    #include <petscmat.h>
734    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
735 
736    Not Collective
737 
738    Input Parameters:
739 +  map - the row mapping from local numbering to global numbering
740 .  nrows - the number of rows indicated
741 .  rows - the indices of the rows
742 .  cmap - the column mapping from local to global numbering
743 .  ncols - the number of columns in the matrix
744 .  cols - the columns indicated
745 .  dnz - the array that will be passed to the matrix preallocation routines
746 -  ozn - the other array passed to the matrix preallocation routines
747 
748    Level: intermediate
749 
750    Notes:
751     See Users-Manual: ch_performance for more details.
752 
753    Do not malloc or free dnz and onz, that is handled internally by these routines
754 
755   Concepts: preallocation^Matrix
756 
757 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
758           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
759 M*/
760 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
761 {\
762   PetscInt __l;\
763   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
764   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
765   for (__l=0;__l<nrows;__l++) {\
766     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
767   }\
768 }
769 
770 /*MC
771    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
772        inserted using a local number of the rows and columns
773 
774    Synopsis:
775    #include <petscmat.h>
776    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
777 
778    Not Collective
779 
780    Input Parameters:
781 +  map - the mapping between local numbering and global numbering
782 .  nrows - the number of rows indicated
783 .  rows - the indices of the rows
784 .  ncols - the number of columns in the matrix
785 .  cols - the columns indicated
786 .  dnz - the array that will be passed to the matrix preallocation routines
787 -  ozn - the other array passed to the matrix preallocation routines
788 
789    Level: intermediate
790 
791    Notes:
792     See Users-Manual: ch_performance for more details.
793 
794    Do not malloc or free dnz and onz that is handled internally by these routines
795 
796   Concepts: preallocation^Matrix
797 
798 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
799           MatPreallocateInitialize(),  MatPreallocateSetLocal()
800 M*/
801 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
802 {\
803   PetscInt __l;\
804   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
805   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
806   for (__l=0;__l<nrows;__l++) {\
807     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
808   }\
809 }
810 /*MC
811    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
812        inserted using a local number of the rows and columns
813 
814    Synopsis:
815    #include <petscmat.h>
816    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
817 
818    Not Collective
819 
820    Input Parameters:
821 +  row - the row
822 .  ncols - the number of columns in the matrix
823 -  cols - the columns indicated
824 
825    Output Parameters:
826 +  dnz - the array that will be passed to the matrix preallocation routines
827 -  ozn - the other array passed to the matrix preallocation routines
828 
829    Level: intermediate
830 
831    Notes:
832     See Users-Manual: ch_performance for more details.
833 
834    Do not malloc or free dnz and onz that is handled internally by these routines
835 
836    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
837 
838   Concepts: preallocation^Matrix
839 
840 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
841           MatPreallocateInitialize(), MatPreallocateSetLocal()
842 M*/
843 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
844 { PetscInt __i; \
845   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
846   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
847   for (__i=0; __i<nc; __i++) {\
848     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
849     else dnz[row - __rstart]++;\
850   }\
851 }
852 
853 /*MC
854    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
855        inserted using a local number of the rows and columns
856 
857    Synopsis:
858    #include <petscmat.h>
859    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
860 
861    Not Collective
862 
863    Input Parameters:
864 +  nrows - the number of rows indicated
865 .  rows - the indices of the rows
866 .  ncols - the number of columns in the matrix
867 .  cols - the columns indicated
868 .  dnz - the array that will be passed to the matrix preallocation routines
869 -  ozn - the other array passed to the matrix preallocation routines
870 
871    Level: intermediate
872 
873    Notes:
874     See Users-Manual: ch_performance for more details.
875 
876    Do not malloc or free dnz and onz that is handled internally by these routines
877 
878    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
879 
880   Concepts: preallocation^Matrix
881 
882 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
883           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
884 M*/
885 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
886 { PetscInt __i; \
887   for (__i=0; __i<nc; __i++) {\
888     if (cols[__i] >= __end) onz[row - __rstart]++; \
889     else if (cols[__i] >= row) dnz[row - __rstart]++;\
890   }\
891 }
892 
893 /*MC
894    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
895 
896    Synopsis:
897    #include <petscmat.h>
898    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
899 
900    Not Collective
901 
902    Input Parameters:
903 .  A - matrix
904 .  row - row where values exist (must be local to this process)
905 .  ncols - number of columns
906 .  cols - columns with nonzeros
907 .  dnz - the array that will be passed to the matrix preallocation routines
908 -  ozn - the other array passed to the matrix preallocation routines
909 
910    Level: intermediate
911 
912    Notes:
913     See Users-Manual: ch_performance for more details.
914 
915    Do not malloc or free dnz and onz that is handled internally by these routines
916 
917    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
918 
919   Concepts: preallocation^Matrix
920 
921 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
922           MatPreallocateSymmetricSetLocalBlock()
923 M*/
924 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
925 
926 
927 /*MC
928    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
929        row in a matrix providing the data that one can use to correctly preallocate the matrix.
930 
931    Synopsis:
932    #include <petscmat.h>
933    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
934 
935    Collective on MPI_Comm
936 
937    Input Parameters:
938 +  dnz - the array that was be passed to the matrix preallocation routines
939 -  ozn - the other array passed to the matrix preallocation routines
940 
941    Level: intermediate
942 
943    Notes:
944     See Users-Manual: ch_performance for more details.
945 
946    Do not malloc or free dnz and onz that is handled internally by these routines
947 
948    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
949 
950   Concepts: preallocation^Matrix
951 
952 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
953           MatPreallocateSymmetricSetLocalBlock()
954 M*/
955 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
956 
957 /* Routines unique to particular data structures */
958 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
959 
960 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
961 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
962 
963 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
964 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
965 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
966 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
967 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
968 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
969 
970 #define MAT_SKIP_ALLOCATION -4
971 
972 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
973 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
974 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
975 
976 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
977 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
978 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
979 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
980 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
981 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
982 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
983 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
984 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
985 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
986 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
987 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
988 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
989 
990 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
991 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
992 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
993 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
994 
995 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
996 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
997 
998 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
999 
1000 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1001 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1002 /*
1003   These routines are not usually accessed directly, rather solving is
1004   done through the KSP and PC interfaces.
1005 */
1006 
1007 /*J
1008     MatOrderingType - String with the name of a PETSc matrix ordering
1009 
1010    Level: beginner
1011 
1012 .seealso: MatGetOrdering()
1013 J*/
1014 typedef const char* MatOrderingType;
1015 #define MATORDERINGNATURAL     "natural"
1016 #define MATORDERINGND          "nd"
1017 #define MATORDERING1WD         "1wd"
1018 #define MATORDERINGRCM         "rcm"
1019 #define MATORDERINGQMD         "qmd"
1020 #define MATORDERINGROWLENGTH   "rowlength"
1021 #define MATORDERINGWBM         "wbm"
1022 #define MATORDERINGSPECTRAL    "spectral"
1023 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1024 
1025 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1026 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1027 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1028 PETSC_EXTERN PetscFunctionList MatOrderingList;
1029 
1030 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1031 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1032 
1033 /*S
1034     MatFactorShiftType - Numeric Shift.
1035 
1036    Level: beginner
1037 
1038 S*/
1039 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1040 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1041 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1042 
1043 /*S
1044     MatFactorError - indicates what type of error in matrix factor
1045 
1046     Level: beginner
1047 
1048     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1049 
1050 .seealso: MatGetFactor()
1051 S*/
1052 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1053 
1054 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1055 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1056 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1057 
1058 /*S
1059    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1060 
1061    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1062 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1063 
1064    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1065 
1066       You can use MatFactorInfoInitialize() to set default values.
1067 
1068    Level: developer
1069 
1070 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1071           MatFactorInfoInitialize()
1072 
1073 S*/
1074 typedef struct {
1075   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1076   PetscReal     usedt;
1077   PetscReal     dt;             /* drop tolerance */
1078   PetscReal     dtcol;          /* tolerance for pivoting */
1079   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1080   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1081   PetscReal     levels;         /* ICC/ILU(levels) */
1082   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1083                                    factorization may be faster if do not pivot */
1084   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1085   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1086   PetscReal     shiftamount;     /* how large the shift is */
1087 } MatFactorInfo;
1088 
1089 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1090 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1091 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1092 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1093 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1094 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1101 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1102 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1103 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1104 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1105 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1106 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1107 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1108 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1109 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1110 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1111 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1112 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1113 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1114 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1115 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1116 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1117 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1118 
1119 /*E
1120     MatSORType - What type of (S)SOR to perform
1121 
1122     Level: beginner
1123 
1124    May be bitwise ORd together
1125 
1126    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1127 
1128    MatSORType may be bitwise ORd together, so do not change the numbers
1129 
1130 .seealso: MatSOR()
1131 E*/
1132 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1133               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1134               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1135               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1136 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1137 
1138 /*
1139     These routines are for efficiently computing Jacobians via finite differences.
1140 */
1141 
1142 /*S
1143      MatColoring - Object for managing the coloring of matrices.
1144 
1145    Level: beginner
1146 
1147   Concepts: matrix, coloring
1148 
1149 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1150 S*/
1151 typedef struct _p_MatColoring* MatColoring;
1152 /*J
1153     MatColoringType - String with the name of a PETSc matrix coloring
1154 
1155    Level: beginner
1156 
1157 .seealso: MatColoringSetType(), MatColoring
1158 J*/
1159 
1160 typedef const  char*           MatColoringType;
1161 #define MATCOLORINGJP      "jp"
1162 #define MATCOLORINGPOWER   "power"
1163 #define MATCOLORINGNATURAL "natural"
1164 #define MATCOLORINGSL      "sl"
1165 #define MATCOLORINGLF      "lf"
1166 #define MATCOLORINGID      "id"
1167 #define MATCOLORINGGREEDY  "greedy"
1168 
1169 /*E
1170    MatColoringWeightType - Type of weight scheme
1171 
1172     Not Collective
1173 
1174 +   MAT_COLORING_RANDOM  - Random weights
1175 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1176 -   MAT_COLORING_LF      - Last-first weighting.
1177 
1178     Level: intermediate
1179 
1180    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1181 
1182 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1183 E*/
1184 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1185 
1186 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1187 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1188 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1189 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1190 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1191 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1192 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1193 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1194 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1195 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1196 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1197 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1198 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1199 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1200 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1201 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1202 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1203 
1204 /*S
1205      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1206         and coloring
1207 
1208    Level: beginner
1209 
1210   Concepts: coloring, sparse Jacobian, finite differences
1211 
1212 .seealso:  MatFDColoringCreate()
1213 S*/
1214 typedef struct _p_MatFDColoring* MatFDColoring;
1215 
1216 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1217 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1218 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1219 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1220 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1221 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1222 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1223 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1228 
1229 
1230 /*S
1231      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1232 
1233    Level: beginner
1234 
1235   Concepts: coloring, sparse matrix product
1236 
1237 .seealso:  MatTransposeColoringCreate()
1238 S*/
1239 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1240 
1241 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1242 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1243 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1244 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1245 
1246 /*
1247     These routines are for partitioning matrices: currently used only
1248   for adjacency matrix, MatCreateMPIAdj().
1249 */
1250 
1251 /*S
1252      MatPartitioning - Object for managing the partitioning of a matrix or graph
1253 
1254    Level: beginner
1255 
1256   Concepts: partitioning
1257 
1258 .seealso:  MatPartitioningCreate(), MatPartitioningType
1259 S*/
1260 typedef struct _p_MatPartitioning* MatPartitioning;
1261 
1262 /*J
1263     MatPartitioningType - String with the name of a PETSc matrix partitioning
1264 
1265    Level: beginner
1266 dm
1267 .seealso: MatPartitioningCreate(), MatPartitioning
1268 J*/
1269 typedef const char* MatPartitioningType;
1270 #define MATPARTITIONINGCURRENT  "current"
1271 #define MATPARTITIONINGAVERAGE   "average"
1272 #define MATPARTITIONINGSQUARE   "square"
1273 #define MATPARTITIONINGPARMETIS "parmetis"
1274 #define MATPARTITIONINGCHACO    "chaco"
1275 #define MATPARTITIONINGPARTY    "party"
1276 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1277 #define MATPARTITIONINGHIERARCH  "hierarch"
1278 
1279 
1280 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1287 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1288 
1289 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1290 
1291 
1292 
1293 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1296 
1297 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1298 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1299 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1300 
1301 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1302 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1303 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1304 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1305 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1306 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1307 
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1319 
1320 #define MP_PARTY_OPT "opt"
1321 #define MP_PARTY_LIN "lin"
1322 #define MP_PARTY_SCA "sca"
1323 #define MP_PARTY_RAN "ran"
1324 #define MP_PARTY_GBF "gbf"
1325 #define MP_PARTY_GCF "gcf"
1326 #define MP_PARTY_BUB "bub"
1327 #define MP_PARTY_DEF "def"
1328 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1329 #define MP_PARTY_HELPFUL_SETS "hs"
1330 #define MP_PARTY_KERNIGHAN_LIN "kl"
1331 #define MP_PARTY_NONE "no"
1332 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1334 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1335 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1336 
1337 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1338 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1339 
1340 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1344 
1345 /*
1346  * hierarchical partitioning
1347  */
1348 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1352 
1353 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1354 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1355 
1356 /*
1357     If you add entries here you must also add them to petsc/finclude/petscmat.h
1358 */
1359 typedef enum { MATOP_SET_VALUES=0,
1360                MATOP_GET_ROW=1,
1361                MATOP_RESTORE_ROW=2,
1362                MATOP_MULT=3,
1363                MATOP_MULT_ADD=4,
1364                MATOP_MULT_TRANSPOSE=5,
1365                MATOP_MULT_TRANSPOSE_ADD=6,
1366                MATOP_SOLVE=7,
1367                MATOP_SOLVE_ADD=8,
1368                MATOP_SOLVE_TRANSPOSE=9,
1369                MATOP_SOLVE_TRANSPOSE_ADD=10,
1370                MATOP_LUFACTOR=11,
1371                MATOP_CHOLESKYFACTOR=12,
1372                MATOP_SOR=13,
1373                MATOP_TRANSPOSE=14,
1374                MATOP_GETINFO=15,
1375                MATOP_EQUAL=16,
1376                MATOP_GET_DIAGONAL=17,
1377                MATOP_DIAGONAL_SCALE=18,
1378                MATOP_NORM=19,
1379                MATOP_ASSEMBLY_BEGIN=20,
1380                MATOP_ASSEMBLY_END=21,
1381                MATOP_SET_OPTION=22,
1382                MATOP_ZERO_ENTRIES=23,
1383                MATOP_ZERO_ROWS=24,
1384                MATOP_LUFACTOR_SYMBOLIC=25,
1385                MATOP_LUFACTOR_NUMERIC=26,
1386                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1387                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1388                MATOP_SETUP_PREALLOCATION=29,
1389                MATOP_ILUFACTOR_SYMBOLIC=30,
1390                MATOP_ICCFACTOR_SYMBOLIC=31,
1391                MATOP_GET_DIAGONAL_BLOCK=32,
1392                /* MATOP_PLACEHOLDER_33=33, */
1393                MATOP_DUPLICATE=34,
1394                MATOP_FORWARD_SOLVE=35,
1395                MATOP_BACKWARD_SOLVE=36,
1396                MATOP_ILUFACTOR=37,
1397                MATOP_ICCFACTOR=38,
1398                MATOP_AXPY=39,
1399                MATOP_CREATE_SUBMATRICES=40,
1400                MATOP_INCREASE_OVERLAP=41,
1401                MATOP_GET_VALUES=42,
1402                MATOP_COPY=43,
1403                MATOP_GET_ROW_MAX=44,
1404                MATOP_SCALE=45,
1405                MATOP_SHIFT=46,
1406                MATOP_DIAGONAL_SET=47,
1407                MATOP_ZERO_ROWS_COLUMNS=48,
1408                MATOP_SET_RANDOM=49,
1409                MATOP_GET_ROW_IJ=50,
1410                MATOP_RESTORE_ROW_IJ=51,
1411                MATOP_GET_COLUMN_IJ=52,
1412                MATOP_RESTORE_COLUMN_IJ=53,
1413                MATOP_FDCOLORING_CREATE=54,
1414                MATOP_COLORING_PATCH=55,
1415                MATOP_SET_UNFACTORED=56,
1416                MATOP_PERMUTE=57,
1417                MATOP_SET_VALUES_BLOCKED=58,
1418                MATOP_CREATE_SUBMATRIX=59,
1419                MATOP_DESTROY=60,
1420                MATOP_VIEW=61,
1421                MATOP_CONVERT_FROM=62,
1422                MATOP_MATMAT_MULT=63,
1423                MATOP_MATMAT_MULT_SYMBOLIC=64,
1424                MATOP_MATMAT_MULT_NUMERIC=65,
1425                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1426                MATOP_SET_VALUES_LOCAL=67,
1427                MATOP_ZERO_ROWS_LOCAL=68,
1428                MATOP_GET_ROW_MAX_ABS=69,
1429                MATOP_GET_ROW_MIN_ABS=70,
1430                MATOP_CONVERT=71,
1431                MATOP_SET_COLORING=72,
1432                /* MATOP_PLACEHOLDER_73=73, */
1433                MATOP_SET_VALUES_ADIFOR=74,
1434                MATOP_FD_COLORING_APPLY=75,
1435                MATOP_SET_FROM_OPTIONS=76,
1436                MATOP_MULT_CONSTRAINED=77,
1437                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1438                MATOP_FIND_ZERO_DIAGONALS=79,
1439                MATOP_MULT_MULTIPLE=80,
1440                MATOP_SOLVE_MULTIPLE=81,
1441                MATOP_GET_INERTIA=82,
1442                MATOP_LOAD=83,
1443                MATOP_IS_SYMMETRIC=84,
1444                MATOP_IS_HERMITIAN=85,
1445                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1446                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1447                MATOP_GET_VECS=88,
1448                MATOP_MAT_MULT=89,
1449                MATOP_MAT_MULT_SYMBOLIC=90,
1450                MATOP_MAT_MULT_NUMERIC=91,
1451                MATOP_PTAP=92,
1452                MATOP_PTAP_SYMBOLIC=93,
1453                MATOP_PTAP_NUMERIC=94,
1454                MATOP_MAT_TRANSPOSE_MULT=95,
1455                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1456                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1457                /* MATOP_PLACEHOLDER_98=98, */
1458                /* MATOP_PLACEHOLDER_99=99, */
1459                /* MATOP_PLACEHOLDER_100=100, */
1460                /* MATOP_PLACEHOLDER_101=101, */
1461                MATOP_CONJUGATE=102,
1462                /* MATOP_PLACEHOLDER_103=103, */
1463                MATOP_SET_VALUES_ROW=104,
1464                MATOP_REAL_PART=105,
1465                MATOP_IMAGINARY_PART=106,
1466                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1467                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1468                MATOP_MAT_SOLVE=109,
1469                MATOP_GET_REDUNDANT_MATRIX=110,
1470                MATOP_GET_ROW_MIN=111,
1471                MATOP_GET_COLUMN_VECTOR=112,
1472                MATOP_MISSING_DIAGONAL=113,
1473                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1474                MATOP_CREATE=115,
1475                MATOP_GET_GHOSTS=116,
1476                MATOP_GET_LOCAL_SUB_MATRIX=117,
1477                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1478                MATOP_MULT_DIAGONAL_BLOCK=119,
1479                MATOP_HERMITIAN_TRANSPOSE=120,
1480                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1481                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1482                MATOP_GET_MULTI_PROC_BLOCK=123,
1483                MATOP_FIND_NONZERO_ROWS=124,
1484                MATOP_GET_COLUMN_NORMS=125,
1485                MATOP_INVERT_BLOCK_DIAGONAL=126,
1486                /* MATOP_PLACEHOLDER_127=127, */
1487                MATOP_GET_SUB_MATRICES_PARALLE=128,
1488                MATOP_SET_VALUES_BATCH=129,
1489                MATOP_TRANSPOSE_MAT_MULT=130,
1490                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1491                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1492                MATOP_TRANSPOSE_COLORING_CREAT=133,
1493                MATOP_TRANS_COLORING_APPLY_SPT=134,
1494                MATOP_TRANS_COLORING_APPLY_DEN=135,
1495                MATOP_RART=136,
1496                MATOP_RART_SYMBOLIC=137,
1497                MATOP_RART_NUMERIC=138,
1498                MATOP_SET_BLOCK_SIZES=139,
1499                MATOP_AYPX=140,
1500                MATOP_RESIDUAL=141,
1501                MATOP_FDCOLORING_SETUP=142,
1502                MATOP_MPICONCATENATESEQ=144
1503              } MatOperation;
1504 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1505 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1506 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1507 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1508 
1509 /*
1510    Codes for matrices stored on disk. By default they are
1511    stored in a universal format. By changing the format with
1512    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1513    be stored in a way natural for the matrix, for example dense matrices
1514    would be stored as dense. Matrices stored this way may only be
1515    read into matrices of the same type.
1516 */
1517 #define MATRIX_BINARY_FORMAT_DENSE -1
1518 
1519 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1520 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1521 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1522 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1523 
1524 /*S
1525      MatNullSpace - Object that removes a null space from a vector, i.e.
1526          orthogonalizes the vector to a subsapce
1527 
1528    Level: advanced
1529 
1530   Concepts: matrix; linear operator, null space
1531 
1532   Users manual sections:
1533 .   sec_singular
1534 
1535 .seealso:  MatNullSpaceCreate()
1536 S*/
1537 typedef struct _p_MatNullSpace* MatNullSpace;
1538 
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1540 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1542 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1543 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1544 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1545 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1546 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1547 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1548 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1553 
1554 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1555 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1556 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1557 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1558 
1559 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1560 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1561 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1562 
1563 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1564 
1565 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1566 
1567 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1572 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1573 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1575 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1576 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1577 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1578 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1580 
1581 /*S
1582     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1583               Jacobian vector products
1584 
1585     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1586 
1587            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1588 
1589     Level: developer
1590 
1591 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1592 S*/
1593 typedef struct _p_MatMFFD* MatMFFD;
1594 
1595 /*J
1596     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1597 
1598    Level: beginner
1599 
1600 .seealso: MatMFFDSetType(), MatMFFDRegister()
1601 J*/
1602 typedef const char* MatMFFDType;
1603 #define MATMFFD_DS  "ds"
1604 #define MATMFFD_WP  "wp"
1605 
1606 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1607 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1608 
1609 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1610 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1611 
1612 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1613 
1614 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1615 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1616 
1617 /*
1618    PETSc interface to MUMPS
1619 */
1620 #ifdef PETSC_HAVE_MUMPS
1621 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1622 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1623 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1624 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1625 
1626 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1629 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1630 #endif
1631 
1632 /*
1633    PETSc interface to Mkl_Pardiso
1634 */
1635 #ifdef PETSC_HAVE_MKL_PARDISO
1636 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1637 #endif
1638 
1639 /*
1640    PETSc interface to Mkl_CPardiso
1641 */
1642 #ifdef PETSC_HAVE_MKL_CPARDISO
1643 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1644 #endif
1645 
1646 /*
1647    PETSc interface to SUPERLU
1648 */
1649 #ifdef PETSC_HAVE_SUPERLU
1650 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1651 #endif
1652 
1653 /*
1654    PETSc interface to SUPERLU_DIST
1655 */
1656 #ifdef PETSC_HAVE_SUPERLU_DIST
1657 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1658 #endif
1659 
1660 /*
1661    PETSc interface to STRUMPACK
1662 */
1663 #ifdef PETSC_HAVE_STRUMPACK
1664 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1665 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1666 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1667 #endif
1668 
1669 
1670 #ifdef PETSC_HAVE_CUDA
1671 /*E
1672     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1673     matrices.
1674 
1675     Not Collective
1676 
1677 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1678 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1679 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1680 
1681     Level: intermediate
1682 
1683    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1684 
1685 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1686 E*/
1687 
1688 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1689 
1690 /* these will be strings associated with enumerated type defined above */
1691 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1692 
1693 /*E
1694     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1695     matrices whose operation should use a particular storage format.
1696 
1697     Not Collective
1698 
1699 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1700 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1701 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1702 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1703 
1704     Level: intermediate
1705 
1706 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1707 E*/
1708 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1709 
1710 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1711 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1712 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1713 #endif
1714 
1715 #if defined(PETSC_HAVE_CUSP)
1716 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1717 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1718 
1719 /*E
1720     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1721     matrices.
1722 
1723     Not Collective
1724 
1725 +   MAT_CUSP_CSR - Compressed Sparse Row
1726 .   MAT_CUSP_DIA - Diagonal
1727 -   MAT_CUSP_ELL - Ellpack
1728 
1729     Level: intermediate
1730 
1731    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1732 
1733 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1734 E*/
1735 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1736 
1737 /* these will be strings associated with enumerated type defined above */
1738 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1739 
1740 /*E
1741     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1742     matrices whose operation should use a particular storage format.
1743 
1744     Not Collective
1745 
1746 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1747 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1748 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1749 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1750 
1751     Level: intermediate
1752 
1753    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1754 
1755 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1756 E*/
1757 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1758 
1759 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1760 #endif
1761 
1762 #if defined(PETSC_HAVE_VIENNACL)
1763 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1764 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1765 #endif
1766 
1767 /*
1768    PETSc interface to FFTW
1769 */
1770 #if defined(PETSC_HAVE_FFTW)
1771 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1772 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1773 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1774 #endif
1775 
1776 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1777 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1778 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1779 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1780 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1781 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1782 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1783 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1784 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1785 
1786 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1787 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1788 
1789 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1790 
1791 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1792 
1793 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1794 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1795 
1796 #endif
1797